Details

Time bar (total: 48.8s)

sample170.0ms

Algorithm
intervals
Results
62.0ms140×body160valid
36.0ms297×body80nan
31.0ms553×pre80true
19.0ms116×body80valid

simplify183.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
183.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize34.0ms

Local error

Found 4 expressions with local error:

29.0b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.3b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
0.3b
(- (* b b) (* (* c a) 4))
0.1b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-log-exp
7×add-cube-cbrt
6×times-frac sqrt-prod associate-/l* difference-of-squares
5×pow1
4×flip3-- insert-posit16 flip--
3×distribute-lft-out--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp cbrt-unprod div-inv
Counts
4 → 76
Calls
4 calls:
Slowest
79.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
41.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
8.0ms
(- (* b b) (* (* c a) 4))
7.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series436.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
148.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
119.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
107.0ms
(sqrt (- (* b b) (* (* c a) 4)))
62.0ms
(- (* b b) (* (* c a) 4))

simplify5.2s

Counts
49 → 88
Calls
49 calls:
Slowest
545.0ms
(- (* (sqrt (- (* b b) (* (* c a) 4))) (sqrt (- (* b b) (* (* c a) 4)))) (* b b))
369.0ms
(/ (* (* (- (sqrt (- (* b b) (* (* c a) 4))) b) (- (sqrt (- (* b b) (* (* c a) 4))) b)) (- (sqrt (- (* b b) (* (* c a) 4))) b)) (* (* (* 2 a) (* 2 a)) (* 2 a)))
350.0ms
(- (pow (sqrt (- (* b b) (* (* c a) 4))) 3) (pow b 3))
291.0ms
(sqrt (- (* (* b b) (* b b)) (* (* (* c a) 4) (* (* c a) 4))))
275.0ms
(- b (* 2 (/ (* a c) b)))

prune971.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.7b

localize12.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune81.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 8.7b

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(/ (* -2 (/ (* a c) b)) (* 2 a))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
39×add-cbrt-cube add-exp-log
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
4×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×pow1 clear-num frac-2neg insert-posit16 div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 53
Calls
2 calls:
Slowest
19.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
9.0ms
(/ (* a c) b)

series56.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
33.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
22.0ms
(/ (* a c) b)

simplify11.7s

Counts
37 → 59
Calls
37 calls:
Slowest
1.5s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 2 2) 2) (* (* a a) a)))
1.4s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 2 2) 2) (* (* a a) a)))
1.3s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
1.2s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
981.0ms
(/ (* (* (* -2 (/ (* a c) b)) (* -2 (/ (* a c) b))) (* -2 (/ (* a c) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))

prune672.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 8.7b

localize19.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ (* -2 (* a c)) (* (* 2 a) b))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
18×prod-exp cbrt-unprod
9×cbrt-undiv div-exp
1×add-sqr-sqrt pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 div-inv associate-/l* add-log-exp
Counts
1 → 32
Calls
1 calls:
Slowest
33.0ms
(/ (* -2 (* a c)) (* (* 2 a) b))

series21.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
21.0ms
(/ (* -2 (* a c)) (* (* 2 a) b))

simplify22.7s

Counts
23 → 35
Calls
23 calls:
Slowest
3.0s
(/ (* (* (* -2 (* a c)) (* -2 (* a c))) (* -2 (* a c))) (* (* (* (* 2 a) b) (* (* 2 a) b)) (* (* 2 a) b)))
2.6s
(/ (* (* (* -2 -2) -2) (* (* (* a c) (* a c)) (* a c))) (* (* (* (* 2 a) b) (* (* 2 a) b)) (* (* 2 a) b)))
2.5s
(/ (* (* (* -2 -2) -2) (* (* (* a a) a) (* (* c c) c))) (* (* (* (* 2 a) b) (* (* 2 a) b)) (* (* 2 a) b)))
2.4s
(/ (* (* (* -2 -2) -2) (* (* (* a a) a) (* (* c c) c))) (* (* (* (* 2 a) (* 2 a)) (* 2 a)) (* (* b b) b)))
2.1s
(/ (* (* (* -2 (* a c)) (* -2 (* a c))) (* -2 (* a c))) (* (* (* (* 2 a) (* 2 a)) (* 2 a)) (* (* b b) b)))

prune272.0ms

Pruning

33 alts after pruning (31 fresh and 2 done)

Merged error: 8.7b

regimes840.0ms

Accuracy

48.1% (7.1b remaining)

Error of 16.1b against oracle of 9.0b and baseline of 22.7b

bsearch16.0ms

end0.0ms

sample5.2s

Algorithm
intervals
Results
1.6s8678×body80nan
1.4s4491×body160valid
1.1s16678×pre80true
513.0ms3509×body80valid